If you got vaccinated (all 3 shots), you would not get the virus at all. The only way you will be able to know your status is through a bloodtest.
I guess I need to be more clear. I got vaccinated years ago. I am wondering could I still have recently contracted the virus and passed it on even though it would not affect me. In short could I become a carrier?
Your question makes no sense. If you had Hep B and then got vaccinated, that vaccination did NOTHING unless you cleared the virus naturally first. If you built an immunity to it after clearing, you will not pass it on since you don't have it any more.